Non-extensive galaxy distributions – Tsallis statistical mechanics

Non-extensive galaxy distributions – Tsallis statistical mechanics
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非广泛的星系分布 – Tsallis 统计力学

DOI:
10.1016/s0960-0779(01)00042-x
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发表时间:
2002
影响因子:
7.8
通讯作者:
M. Morikawa
M. Morikawa
中科院分区:
数学1区
文献类型:
--
作者:
A. Nakamichi;I. Joichi;O. Iguchi;M. Morikawa

文献摘要

被引文献

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大型天体物理系统由于其远程引力而具有非广延性。在这里,我们展示了一种研究此类自引力系统(SGS)统计力学的方法。这是基于熵新定义的标准统计力学的推广; Tsallis 统计力学。通过发展熵的组成和广义欧拉关系,我们研究了细胞内计数方法中的星系分布。将其应用到CfA II南红移巡天数据中,我们得到负参数q。这可能代表了SGS普遍存在的不稳定性。
Large-scale astrophysical systems are non-extensive due to their long-range force of gravity. Here we show an approach towards the statistical mechanics of such self-gravitating systems (SGS). This is a generalization of the standard statistical mechanics based on the new definition of entropy; Tsallis statistical mechanics. Developing the composition of entropy and the generalized Euler relation, we investigate the galaxy distributions in the count-in-cell method. This is applied to the data of CfA II South redshift survey and we obtain the negative parameter q. This may represent the ubiquitous instability of SGS.